Q13 of 24 Page 227

If the ratio of the volumes of two right circular cones is 1:4 and the ratio of their radii of their bases is 4:5, then the ratio of the heights is

Volume of the first cone = v and second cone = 4v


First cone’s base radius = 4r and second cone’s base radius = 5r


Let, first cone’s height = x and second cone’s height = y


According to the problem,




⇒ x/y = 25/64


⇒x∶ y = 25 ∶ 64

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